Autocorrelation of ratios of L-functions

Details Autocorrelation of ratios of L-functions Autocorrelation of ratios of L-functions

2007-11-05

arxiv.org/abs/0711.0718v3

Mathematics

Number Theory

Minor corrections

Scientific paper

We give a new heuristic for all of the main terms in the quotient of products
of L-functions averaged over a family. These conjectures generalize the recent
conjectures for mean values of L-functions. Comparison is made to the analogous
quantities for the characteristic polynomials of matrices averaged over a
classical compact group.

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